Title:
|
Sur l'appartenance dans la classe $C^{(k),\mu}$ des solutions variationnelles des équations elliptiques non-linéaires de l'ordre $2k$ en deux dimensions (Communication préalable) (French) |
Title:
|
On the belonging of variational solutions of elliptic non-linear equations of order $2k$ in two dimensions to the class $C^{(k),\mu }$ (Preliminary communication) (English) |
Author:
|
Nečas, Jindřich |
Language:
|
French |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
8 |
Issue:
|
2 |
Year:
|
1967 |
Pages:
|
209-217 |
. |
Category:
|
math |
. |
MSC:
|
35-24 |
MSC:
|
35Jxx |
MSC:
|
49Gxx |
idZBL:
|
Zbl 0181.11405 |
idMR:
|
MR0217419 |
. |
Date available:
|
2008-06-05T20:24:47Z |
Last updated:
|
2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105105 |
. |
Reference:
|
[1] E. R. BULEY: The differentiability of solutions of certain variational problems for multiple integrals.Technical Report 16 (1960), Univ. Berkeley. |
Reference:
|
[2] E. De GIORGI: Sulla differenziabilità e l'analyticità delle estremali degli integrali multipli regolari.Mem. Accad. Sci. Torino, 3 (1957), 25-43. MR 0093649 |
Reference:
|
[3] O. A. LADYŽENSKAJA N. N. URALCEVA: Linějnyje i kvazilinějnyje uravněnija elliptičeskogo tipa.Izd. Nauka, Moskva 1964. MR 0211073 |
Reference:
|
[4] C. B. MORREY: Quelques résultats récents du calcul des variations.Colloque CNRS, Paris 1962. |
Reference:
|
[5] C. B. MORREY: Multiple integral problems in the calculus of variations and related topics.Univ. of California. Publ. 1 (19413), 1-130. Zbl 0108.10402 |
Reference:
|
[6] J. NEČAS: On the existence and regularity of solutions of nonlinear elliptic equations.Proceedings of Equadiff II, Bratislava 1966. MR 0273183 |
Reference:
|
[7] J. NEČAS: Sur la méthode variationnelle pour les équations aux dérivées partielles non linéaires du type elliptique; l'existence et la régularité des solutions.Comment. Math. Univ. Carolinae 7, 3 (1966), 301-317. Zbl 0151.15102, MR 0206470 |
Reference:
|
[8] F. E. BROWDER: Variational methods for nonlinear elliptic eigenvalue problems.Bull. Amer. Math. Soc. 71 (1965), 176-183. Zbl 0135.15802, MR 0179459 |
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